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Finding the Third Proportional to 19,002 and 27,369

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Solution

The third proportional to 19,002 and 27,369 is: 39,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002 : 27,369 = 27,369 : x
  2. Step 2: Convert to fraction form
    19,002/27,369 = 27,369/x
  3. Step 3: Cross multiply
    19,002x = 27,369 × 27,369
  4. Step 4: Simplify right side
    19,002x = 749,062,161
  5. Step 5: Solve for x
    x = 749,062,161/19,002
  6. Step 6: Final answer
    x = 39,420.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.